The tetrad techпique in the theory of relativistfc plasma waves with radiative frictioп

We develop a covariant method of calculating the oscillations in a relativistic plasma with radiative damping on the basis of the tetrad formalism. The resulting Lorentz-invariant dispersion relation is examined for the cases of transverse, Langmuir, and ion-sound oscillations in a plasma whose unperturbed state is described by a relativistic Maxwellian distribution. The relation between the radiative damping time and the Landau damping time is analyzed.